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Finding the Fourth Proportional to 12,618.79, 18,930.41 and 5,219.10

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Solution

The fourth proportional to 12,618.79, 18,930.41 and 5,219.10 is: 7,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.79 : 18,930.41 = 5,219.10 : x
  2. Step 2: Convert to fraction form
    12,618.79/18,930.41 = 5,219.10/x
  3. Step 3: Cross multiply
    12,618.79x = 18,930.41 × 5,219.10
  4. Step 4: Simplify right side
    12,618.79x = 98,799,702.83
  5. Step 5: Solve for x
    x = 98,799,702.83/12,618.79
  6. Step 6: Final answer
    x = 7,829.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.